st: How to "reverse" log transformated result

I'm doing an multilevel linear regression analysis where I try to
investigate if there are variation in the lenght of the rehabilitation
process before people are being granted a disability pension. I measure
this in days, and since my data are very skewed, I've done a log
transformation. Now I wonder how I can transform the results back to the
original scale of measurement. As an example, this are the results for
the different types of diagnosis.

If I now try to transform the data back using di exp(.1993938) I get the
result 1.2206626.
If I try to analyse the data without log transforming them, I find that
the mental disorders group have 166 days (95% CI: 75.5-265.6) longer
rehabilitation time before being granted a disability pension than the
"other" diagnosis group.
I guess that the di exp is not the right way to transform the results
back, but I don't know any other way to do it.